Search a number
-
+
122120233001231 = 1995341911487851
BaseRepresentation
bin11011110001000101010101…
…000110111010000100001111
3121000101120200000020012000012
4123301011111012322010033
5112001304214122014411
61111421132140223435
734502616134300423
oct3361052506720417
9530346600205005
10122120233001231
1135a02999952413
1211843876b3ab7b
13531ab7221874a
142222917b98b83
15e1b962cb118b
hex6f11551ba10f

122120233001231 has 8 divisors (see below), whose sum is σ = 122736210768000. Its totient is φ = 121504278317400.

The previous prime is 122120233001191. The next prime is 122120233001237. The reversal of 122120233001231 is 132100332021221.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122120233001231 is a prime.

It is a super-2 number, since 2×1221202330012312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122120233001197 and 122120233001206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122120233001237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4886456 + ... + 16374306.

It is an arithmetic number, because the mean of its divisors is an integer number (15342026346000).

Almost surely, 2122120233001231 is an apocalyptic number.

122120233001231 is a deficient number, since it is larger than the sum of its proper divisors (615977766769).

122120233001231 is a wasteful number, since it uses less digits than its factorization.

122120233001231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11541469.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 122120233001231 its reverse (132100332021221), we get a palindrome (254220565022452).

The spelling of 122120233001231 in words is "one hundred twenty-two trillion, one hundred twenty billion, two hundred thirty-three million, one thousand, two hundred thirty-one".

Divisors: 1 199 53419 10630381 11487851 2286082349 613669512569 122120233001231